422105200 has 240 divisors, whose sum is σ = 1193423616. Its totient is φ = 141926400.

The previous prime is 422105191. The next prime is 422105219. The reversal of 422105200 is 2501224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4351552 + ... + 4351648.

Almost surely, 2^422105200 is an apocalyptic number.

422105200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596711808).

422105200 is an abundant number, since it is smaller than the sum of its proper divisors (771318416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422105200 is a wasteful number, since it uses less digits than its factorization.

422105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 422105200 is about 20545.1989525534. The cubic root of 422105200 is about 750.1363900103.

Adding to 422105200 its reverse (2501224), we get a palindrome (424606424).

The spelling of 422105200 in words is "four hundred twenty-two million, one hundred five thousand, two hundred".